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\frac{4}{3}-2x=y
Swap sides so that all variable terms are on the left hand side.
-2x=y-\frac{4}{3}
Subtract \frac{4}{3} from both sides.
\frac{-2x}{-2}=\frac{y-\frac{4}{3}}{-2}
Divide both sides by -2.
x=\frac{y-\frac{4}{3}}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{y}{2}+\frac{2}{3}
Divide y-\frac{4}{3} by -2.